What is the Greatest Common Factor of 87776 and 87794?

Greatest common factor (GCF) of 87776 and 87794 is 2.

GCF(87776,87794) = 2

We will now calculate the prime factors of 87776 and 87794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87776 and 87794.

How to find the GCF of 87776 and 87794?

We will first find the prime factorization of 87776 and 87794. After we will calculate the factors of 87776 and 87794 and find the biggest common factor number .

Step-1: Prime Factorization of 87776

Prime factors of 87776 are 2, 13, 211. Prime factorization of 87776 in exponential form is:

87776 = 2⁵ × 13¹ × 211¹

Step-2: Prime Factorization of 87794

Prime factors of 87794 are 2, 7, 6271. Prime factorization of 87794 in exponential form is:

87794 = 2¹ × 7¹ × 6271¹

Step-3: Factors of 87776

List of positive integer factors of 87776 that divides 87776 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 211, 416, 422, 844, 1688, 2743, 3376, 5486, 6752, 10972, 21944, 43888

Step-4: Factors of 87794

List of positive integer factors of 87794 that divides 87776 without a remainder.

1, 2, 7, 14, 6271, 12542, 43897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87776 and 87794. The biggest common factor number is the GCF number.
So the greatest common factor 87776 and 87794 is 2.

Also check out the Least Common Multiple of 87776 and 87794